A277914 - OEIS

A277914

a(n) is the number of zeros minus the number of ones among the first n terms of A076478.

0, 1, 0, 1, 2, 3, 2, 1, 2, 1, 0, 1, 2, 3, 4, 5, 4, 5, 4, 5, 6, 5, 4, 3, 4, 5, 4, 5, 4, 3, 2, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 6, 7, 8, 7, 8, 9, 10, 9, 8, 9, 8, 9, 10, 11, 10, 11, 10, 11, 10, 9, 10, 11, 10, 9, 8, 7, 8, 9, 10, 9, 10, 11, 10, 9, 10, 9, 10, 9, 10

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,5

COMMENTS

A036799 gives the positions of zeros in this sequence.

Between two zeros, the graph of the sequence looks like a Takagi (or blancmange) curve.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Wikipedia, Blancmange curve

FORMULA

a(n) = Sum_{i=0..n-1} (-1)^A076478(i) for any n>=0.

MATHEMATICA